Question

Please at least answer first one!!!!

1. What linear function can be represented by the set of ordered pairs?

{(−4, 15), (0, 5), (4, −5), (8, −15)}

Enter your answer in the box.
f(x)=_________


2. A business spends $3500 to purchase a copy machine. The business also spends $125 per month on maintenance and supplies for the copy machine.

What function equation represents the total cost of the copy machine after x months?

f(x)=125x+3500

f(x)=3500x+125

f(x)=125x−3500

f(x)=3500x−125

Answer 1

For the first one, first find your slope (
`m= (y_2-y_1)/(x_2-x_1)`), then use f(x)=mx+b. Your slope would be
`m= (-5-5)/(4-0) =-10/4=-5/2`. Your y-intercept is given as (0,5), so your equation of the line would be f(x)=(-5/2)x+5. For the second one, first you find what is constant. As your 3500 is a one time purchase, it is your constant, which will be your y-intercept. Your slope would be whatever changes over time, which is your maintenance cost of 125. This creates the equation f(x)=mx+b => f(x)=125x+3500.